NO Prover = TRS(tech=GUIDED_UNF, nb_unfoldings=unlimited, unfold_variables=true, strategy=LEFTMOST_NE) ** BEGIN proof argument ** The following rule was generated while unfolding the analyzed TRS: [iteration = 2] g(d) -> g(d) Let l be the left-hand side and r be the right-hand side of this rule. Let p = epsilon, theta1 = {} and theta2 = {}. We have r|p = g(d) and theta2(theta1(l)) = theta1(r|p). Hence, the term theta1(l) = g(d) loops w.r.t. the analyzed TRS. ** END proof argument ** ** BEGIN proof description ** ## Searching for a generalized rewrite rule (a rule whose right-hand side contains a variable that does not occur in the left-hand side)... No generalized rewrite rule found! ## Searching for a loop by unfolding (unfolding of variable subterms: ON)... # Iteration 0: no loop detected, 2 unfolded rules generated. # Iteration 1: no loop detected, 2 unfolded rules generated. # Iteration 2: loop detected, 1 unfolded rule generated. Here is the successful unfolding. Let IR be the TRS under analysis. L0 = [g^#(_0) -> h^#(_0), h^#(d) -> g^#(c)] is in U_IR^0. We merge the first and the second rule of L0. ==> L1 = g^#(d) -> g^#(c) is in U_IR^1. Let p1 = [0]. We unfold the rule of L1 forwards at position p1 with the rule c -> d. ==> L2 = g^#(d) -> g^#(d) is in U_IR^2. ** END proof description ** Proof stopped at iteration 2 Number of unfolded rules generated by this proof = 5 Number of unfolded rules generated by all the parallel proofs = 5